Question 5 During ejection from a military airplane, the pilot\'s acceleration m

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Question 5 During ejection from a military airplane, the pilot's acceleration must not be exceeded l6g if injury is to be avoided. As shown in Figure Q5, the seated pilot can be modeled as a spring-mass system and is subjected to a triangular ejection pulse y (a) Show that the equation of motion ofthe system is m2+kz=-my where zx-y, and the response for 24, is t21, Using 2 and mu)-k, the expression z(0) above can also be written as zt) r 2t, 15 marks] (b) Show that the peak response occurs at t when /,1/2. This can be shown 4 marks] (c) Show that the maximum peak acceleration A, of the ejection pulse that can be by differentiating the response of the system for 12 ti applied to the pilot such that the pilot won't injure himself is A,6g/1+ 6 marks mjF Ag Figure Q5

Explanation / Answer

5,479 answers

the force on pilot is F = 160 lb

the spinal spring constant is k = 450 lb/in

let a be the peak acceleration

we know that

F = k x d

where d is distance the spring is compressed

or m x a = k x d

or a = (k x d/m)

where m is mass of pilot

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